Question

Bazele unui trapez au lungimile de 4 cm si 6 cm.Determinati lungimea celor 3 segmente determinate de diagonale pe linia mijlocie

Answer 1

Notam trapezul ABCD
AB=6
DC=4
ducem linia mijlocie MN care intersecteaza AC in E si DB in F
ME linie mijlocie in triunghiul ADC    ME=DC/2=4/2=2
FN linie mijlocie in triunghiul BDC    FN=DC/2=4/2=2
MN linie mijlocie in trapez =(4+6)/2=5
EF=5-2-2=1


sau direct
EF=(AB-DC)/2=(6-4)/2=2/2=1
ME=EF=4/2=2